Algebraic structures of MRD Codes
Information Theory
2025-10-06 v2 Combinatorics
math.IT
Rings and Algebras
Abstract
Based on results in finite geometry we prove the existence of MRD codes in (F_q)_(n,n) with minimum distance n which are essentially different from Gabidulin codes. The construction results from algebraic structures which are closely related to those of finite fields. Some of the results may be known to experts, but to our knowledge have never been pointed out explicitly in the literature.
Cite
@article{arxiv.1502.02711,
title = {Algebraic structures of MRD Codes},
author = {Javier de la Cruz and Michael Kiermaier and Alfred Wassermann and Wolfgang Willems},
journal= {arXiv preprint arXiv:1502.02711},
year = {2025}
}